Question

Given a sequence is defined by the explicit definition LaTeX: t_n=\:n^2+nt n = n 2 + n, find the 4th term of the sequence. (ie LaTeX: t_4t 4)

Group of answer choices

Answer 1

*100% CORRECT ANSWERS

Answer 2

`t_(4)=20`

Explanation:

Given:

The
`n^(th)` term of the sequence is given as:

`t_(n)=n^(2)+n`

In order to find the fourth term of this sequence, we need to plug in 4 for
`n` in the above expression and solve. This gives,

`t_(4)=4^(2)+4\\t_(4)=16+4=20`

Therefore, the fourth term of the sequence is
`t_(4)=20`.